21111144222300 has 216 divisors, whose sum is σ = 67989127584000. Its totient is φ = 5053069507200.

The previous prime is 21111144222283. The next prime is 21111144222317. The reversal of 21111144222300 is 322244111112.

It is an interprime number because it is at equal distance from previous prime (21111144222283) and next prime (21111144222317).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 813150 + ... + 6548549.

Almost surely, 2^{21111144222300} is an apocalyptic number.

21111144222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111144222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33994563792000).

21111144222300 is an abundant number, since it is smaller than the sum of its proper divisors (46877983361700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21111144222300 is a wasteful number, since it uses less digits than its factorization.

21111144222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361817 (or 7361799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21111144222300 its reverse (322244111112), we get a palindrome (21433388333412).

It can be divided in two parts, 2111 and 1144222300, that added together give a palindrome (1144224411).

The spelling of 21111144222300 in words is "twenty-one trillion, one hundred eleven billion, one hundred forty-four million, two hundred twenty-two thousand, three hundred".